Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 501/311,668/737
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 501,668
Greatest Common Factor of Numerators i.e. GCF of 501,668 is 167 .
LCM of Denominators means LCM of 311,737 as per the given fractions.
LCM of 311,737 is 229207 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 501,668
167 | 501, 668 |
3, 4 |
∴ So the GCF of the given numbers is 167 = 167
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 501,668 . The biggest common factor number is the GCF number.
So the greatest common factor 501,668 is 167.
Lets's calculate LCM of 311,737
Given numbers has no common factors except 1. So, there LCM is their product i.e 229207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/229207
Therefore, the GCF of Fractions 501/311,668/737 is 167/229207
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 311,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,737) x common factors =1 x 1 = 1
LCM(311,737) = ( 311 × 737 ) / 1
LCM(311,737) = 229207 / 1
LCM(311,737) = 229207
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 501/311, 668/737?
Answer: GCF of Numerators as per given numbers 501/311, 668/737 is
GCF of Numerators i.e. for 501,668 is 167
LCM of denominators i.e. for 311,737 is 229207.
Thus, GCF of Fractions is 167/229207.Finally, GCF of Fractions for 501/311, 668/737 is 167/229207.